Home / 2,767.56-4,151.64-819.77

Finding the Fourth Proportional to 2,767.56, 4,151.64 and 819.77

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Solution

The fourth proportional to 2,767.56, 4,151.64 and 819.77 is: 1,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.56 : 4,151.64 = 819.77 : x
  2. Step 2: Convert to fraction form
    2,767.56/4,151.64 = 819.77/x
  3. Step 3: Cross multiply
    2,767.56x = 4,151.64 × 819.77
  4. Step 4: Simplify right side
    2,767.56x = 3,403,389.92
  5. Step 5: Solve for x
    x = 3,403,389.92/2,767.56
  6. Step 6: Final answer
    x = 1,229.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.